4(2n+2)=6(6n+5)+8

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Solution for 4(2n+2)=6(6n+5)+8 equation: 


Simplifying
4(2n + 2) = 6(6n + 5) + 8

Reorder the terms:
4(2 + 2n) = 6(6n + 5) + 8
(2 * 4 + 2n * 4) = 6(6n + 5) + 8
(8 + 8n) = 6(6n + 5) + 8

Reorder the terms:
8 + 8n = 6(5 + 6n) + 8
8 + 8n = (5 * 6 + 6n * 6) + 8
8 + 8n = (30 + 36n) + 8

Reorder the terms:
8 + 8n = 30 + 8 + 36n

Combine like terms: 30 + 8 = 38
8 + 8n = 38 + 36n

Solving
8 + 8n = 38 + 36n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-36n' to each side of the equation.
8 + 8n + -36n = 38 + 36n + -36n

Combine like terms: 8n + -36n = -28n
8 + -28n = 38 + 36n + -36n

Combine like terms: 36n + -36n = 0
8 + -28n = 38 + 0
8 + -28n = 38

Add '-8' to each side of the equation.
8 + -8 + -28n = 38 + -8

Combine like terms: 8 + -8 = 0
0 + -28n = 38 + -8
-28n = 38 + -8

Combine like terms: 38 + -8 = 30
-28n = 30

Divide each side by '-28'.
n = -1.071428571

Simplifying
n = -1.071428571

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